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Finding the Fourth Proportional to 514,019.04, 709,322.04 and 284,560.08

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Solution

The fourth proportional to 514,019.04, 709,322.04 and 284,560.08 is: 392,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,019.04 : 709,322.04 = 284,560.08 : x
  2. Step 2: Convert to fraction form
    514,019.04/709,322.04 = 284,560.08/x
  3. Step 3: Cross multiply
    514,019.04x = 709,322.04 × 284,560.08
  4. Step 4: Simplify right side
    514,019.04x = 201,844,736,448.16
  5. Step 5: Solve for x
    x = 201,844,736,448.16/514,019.04
  6. Step 6: Final answer
    x = 392,679.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.